It is proposed that this filing will become effective (check appropriate box)

X immediately upon filing pursuant to paragraph (b)

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on (date) pursuant to paragraph (b)

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60 days after filing pursuant to paragraph (a)(i)

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on (date) pursuant to paragraph (a)(i)

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75 days after filing pursuant to paragraph (a)(ii)

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on (date) pursuant to paragraph (a)(ii) of Rule 485

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If appropriate, check the following box:

this post-effective amendment designates a new effective date for a

previously filed post-effective amendment.

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SIGNATURES

__________

Pursuant to the requirements of the Securities Act of 1933 and to the Investment Company Act of 1940, the Registrant certifies that it meets all of the requirements for effectiveness of the Registration Statement pursuant to Rule 485(b) under the Securities Act of 1933 and has duly caused this Amendment to the Registration Statement to be signed on its behalf by the undersigned, thereunto duly authorized, in the City of New York, State of New York, on the 15th day of April, 2013.

GENERAL MUNICIPAL MONEY MARKET FUNDS, INC.

BY: /s/ Bradley J. Skapyak*

BRADLEY J. SKAPYAK, PRESIDENT

Pursuant to the requirements of the Securities Act of 1933 and the Investment Company Act of 1940, this Amendment to the Registration Statement has been signed below by the following persons in the capacities and on the date indicated.